Completeness of compact Lorentz manifolds admitting a timelike conformal Killing vector field
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- by Alfonso Romero and Miguel Sánchez PDF
- Proc. Amer. Math. Soc. 123 (1995), 2831-2833 Request permission
Abstract:
It is proved that every compact Lorentz manifold admitting a timelike conformal Killing vector field is geodesically complete. So, a recent result by Kamishima in J. Differential Geometry [37 (1993), 569-601] is widely extended.References
- Yves Carrière, Autour de la conjecture de L. Markus sur les variétés affines, Invent. Math. 95 (1989), no. 3, 615–628 (French, with English summary). MR 979369, DOI 10.1007/BF01393894
- Yoshinobu Kamishima, Completeness of Lorentz manifolds of constant curvature admitting Killing vector fields, J. Differential Geom. 37 (1993), no. 3, 569–601. MR 1217161 A. Romero and M. Sánchez, Incomplete Lorentzian tori with a Killing vector field, preprint, Univ. Granada, 1993.
- Joseph A. Wolf, Spaces of constant curvature, McGraw-Hill Book Co., New York-London-Sydney, 1967. MR 0217740
Additional Information
- © Copyright 1995 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 123 (1995), 2831-2833
- MSC: Primary 53C50; Secondary 57R20, 57S25
- DOI: https://doi.org/10.1090/S0002-9939-1995-1257122-3
- MathSciNet review: 1257122